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Finding the Fourth Proportional to 129,066, 178,104.85 and 71,708.95

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Solution

The fourth proportional to 129,066, 178,104.85 and 71,708.95 is: 98,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,066 : 178,104.85 = 71,708.95 : x
  2. Step 2: Convert to fraction form
    129,066/178,104.85 = 71,708.95/x
  3. Step 3: Cross multiply
    129,066x = 178,104.85 × 71,708.95
  4. Step 4: Simplify right side
    129,066x = 12,771,711,783.41
  5. Step 5: Solve for x
    x = 12,771,711,783.41/129,066
  6. Step 6: Final answer
    x = 98,954.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.